query_question: Calculate the voltages $v_2$ in <image 1>.
options: ['-90 cos(t) V', '-90 cos(2t) V', '90 cos(2t) V', '90 sin(2t) V']
demo_question_list: The circuit in <image 1> consists of a general inverter connected to a load. Suppose the range of logical 1 is defined to be 4 to 5V. Determine the minimum $R_L$ in order that the output be 1 when the input voltage v1 is zero.
  
  Answer the question using a single word or phrase. For the INVERTER shown in <image 1>. Find the value of $C_s$ for full compensation.  For the transistor, $h_{FE(min)}$ = 60 $r_{b'e}$ = 1200$\Omega$, $C_i$ = 100pF, $V_{BE(ON)}$ = 0.7V, $V_{sat}$ = 0.2V. $V_i$ = 6V when on.
  
  Answer the question using a single word or phrase. Using superposition and Laplace transform techniques, calculate the voltage $v_2(t)$ in <image 1>.
  A. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{5}) cos (t - 63.44^{\circ})] u(t)$
  B. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{3}) sin (t - 63.44^{\circ})] u(t)$
  C. $[2 - 2.1e^{-(1 / 2)t} - (1 / \sqrt{5}) sin (t - 63.44^{\circ})] u(t)$
  D. $[2 - 2.4e^{-(1 / 2)t} - (1 / \sqrt{5}) sin (t - 63.44^{\circ})] u(t)$
  
  Answer with the option's letter from the given choices directly.  In <image 1>. $v_c = sin 2 \pi T$. Find an expression for i and calculate i at the instants t = 1/2s.
  A. $3 \pi x 10^-5 A$
  B. $0 \pi x 10^-5 A$
  C. $1 \pi x 10^-5 A$
  D. $-2 \pi x 10^-5 A$
  
  Answer with the option's letter from the given choices directly.